a ⃗=3i ̂-5j ̂ and b ⃗=6i ̂+3j ̂ are two vectors and c ⃗ is a vector such that c ⃗=a ⃗×b ⃗ then ...

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If a ⃗=i ̂-j ̂+7k ̂ and b ⃗=5i ̂-j ̂+λk ̂, then find the value of λ, so that a ⃗+b ⃗ ........Q171

Let a ⃗, b ⃗ and c ⃗ be three vectors such that |a ⃗|= 3, |b ⃗|= 4, |c ⃗|= 5 and each one of....Q260

If a ⃗+b ⃗+c ⃗=0,|a ⃗ |=3,|b ⃗ |=5 and |c ⃗ |=7, find the angle between a ⃗ and b ⃗.......Q252

Let a ⃗=i ̂+2j ̂-3k ̂ and b ⃗=3i ̂-j ̂+2k ̂ be two vectors. Show that the vectors (a ⃗+b ⃗ )....Q170

Show that the points A, B, C with position vectors 2a ⃗+3b ⃗+5c ⃗, a ⃗+2b ⃗+3c ⃗ and 7a ⃗-c ⃗.......

If a ⃗=i ̂+j ̂+k ̂ and b ⃗=j ̂-k ̂, find a vector c ⃗, such that a ⃗×c ⃗=b ⃗ and a ⃗⋅ c ⃗=3.

Find λ if the vectors a ⃗=i ̂+3j ̂+k ̂, b ⃗=2i ̂-j ̂-k ̂ & c ⃗=λi ̂+7j ̂+3k ̂ are coplanar.

Let a ⃗=2i ̂-j ̂+3k ̂ , b ⃗=3i ̂-5j ̂+k ̂ and c ⃗ be a vector such that a ⃗×c ⃗=c ⃗×b ⃗ and (a ⃗+c